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Finding the Third Proportional to 29,137.50 and 51,808.50

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Solution

The third proportional to 29,137.50 and 51,808.50 is: 92,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.50 : 51,808.50 = 51,808.50 : x
  2. Step 2: Convert to fraction form
    29,137.50/51,808.50 = 51,808.50/x
  3. Step 3: Cross multiply
    29,137.50x = 51,808.50 × 51,808.50
  4. Step 4: Simplify right side
    29,137.50x = 2,684,120,672.25
  5. Step 5: Solve for x
    x = 2,684,120,672.25/29,137.50
  6. Step 6: Final answer
    x = 92,119.11

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.